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Cooperative binding of n ‐mers with steric hindrance to finite and infinite one‐dimensional lattices
Author(s) -
Tsuchiya Takashi,
Szabo Attila
Publication year - 1982
Publication title -
biopolymers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.556
H-Index - 125
eISSN - 1097-0282
pISSN - 0006-3525
DOI - 10.1002/bip.360210510
Subject(s) - steric effects , scatchard plot , chemistry , chain (unit) , variety (cybernetics) , matrix (chemical analysis) , expression (computer science) , stereochemistry , binding site , mathematics , physics , quantum mechanics , biochemistry , chromatography , computer science , statistics , programming language
Abstract The cooperative binding of n ‐mers to a finite ring, a finite open chain, and an infinite chain is treated in a unified way using the matrix method. For an infinite chain, the implicit closed‐form expression (“Scatchard formula”) for the fraction of bound sites obtained by McGhee and von Hippel, is simply rederived using a procedure involving implicit differentiation of the characteristic equation. A variety of models for n ‐mer binding that incorporate steric hindrance for formulated, and corresponding Scatchard formulas are derived using our procedure.